Add 30/35 and 10/40
30/35 + 10/40 is 31/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
30/35 = 30 × 8/35 × 8 = 240/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
10/40 = 10 × 7/40 × 7 = 70/280 - Add the two like fractions:
240/280 + 70/280 = 240 + 70/280 = 310/280 - 310/280 simplified gives 31/28
- So, 30/35 + 10/40 = 31/28
In mixed form: 13/28
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